Cubic curve and its tangent
Cubic curve and its tangent
Secondary 4
7 marks
Original parallel to supplied A Math Applications of Integration references
The tangent to the curve \(y=x^3\) at \(P(1,\ 1)\) meets the curve again at \(Q\).
- Find the equation of the tangent at \(P\) and the coordinates of \(Q\).[3]
- Hence find the area enclosed by the curve and the tangent.[4]
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Answer:(i) \(y=3x-2\), \(Q=(-2,-8)\) (ii) \(\dfrac{27}{4}\text{ units}^2\)
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